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Simplifying 2(5x + 2) = 3(2x + 1) Reorder the terms: 2(2 + 5x) = 3(2x + 1) (2 * 2 + 5x * 2) = 3(2x + 1) (4 + 10x) = 3(2x + 1) Reorder the terms: 4 + 10x = 3(1 + 2x) 4 + 10x = (1 * 3 + 2x * 3) 4 + 10x = (3 + 6x) Solving 4 + 10x = 3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + 10x + -6x = 3 + 6x + -6x Combine like terms: 10x + -6x = 4x 4 + 4x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + 4x = 3 + 0 4 + 4x = 3 Add '-4' to each side of the equation. 4 + -4 + 4x = 3 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = 3 + -4 4x = 3 + -4 Combine like terms: 3 + -4 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25
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